An adaptive test against ordered alternatives

被引:14
作者
Beier, F
Buning, H
机构
[1] UNIV DORTMUND,DEPT STAT,D-44221 DORTMUND,GERMANY
[2] FREE UNIV BERLIN,INST STAT & OKONOMETRIE,D-14195 BERLIN,GERMANY
关键词
linear rank statistic; upward trend; skewness and tailweight; selector statistic; Monte Carlo simulation;
D O I
10.1016/S0167-9473(97)00014-5
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Nonparametric tests are presented for the c-sample location problem which are efficient for detecting an upward trend in the treatments. In this paper, only linear rank statistics are considered to perform the test. While the choice of suitable regression constants depends on the test problem, the choice of scores depends on the underlying distribution. Thus, a distribution-free adaptive test is proposed which takes information from the data into account. The adaptive test is compared with the test of Jonckheere (1954) and Terpstra (1952) via Monte Carlo simulation. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:441 / 452
页数:12
相关论文
共 11 条
[1]  
[Anonymous], ROBUSTE ADAPTIVE TES
[2]  
Buning H, 1996, COMMUN STAT THEORY, V25, P1569
[3]   PERCENTILE MODIFICATIONS OF 2 SAMPLE RANK-TESTS [J].
GASTWIRTH, JL .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1965, 60 (312) :1127-1141
[4]  
Hajek J, 1969, NONPARAMETRIC STAT
[5]   TESTS FOR PATTERNED ALTERNATIVES IN K-SAMPLE PROBLEMS [J].
HETTMANSPERGER, TP ;
NORTON, RM .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1987, 82 (397) :292-299
[6]   2-SAMPLE ADAPTIVE DISTRIBUTION-FREE TEST [J].
HOGG, RV ;
FISHER, DM ;
RANDLES, RH .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1975, 70 (351) :656-661
[7]  
JONCKHEERE AR, 1954, BIOMETRIKA, V41, P133, DOI 10.1093/biomet/41.1-2.133
[8]  
Lehmann EL, 1975, NONPARAMETRICS
[9]   K-SAMPLE RANK-TESTS FOR UMBRELLA ALTERNATIVES [J].
MACK, GA ;
WOLFE, DA .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1981, 76 (373) :175-181
[10]  
Terpstra T.J., 1952, Indigationes Mathematicae, V14, P327, DOI [10.1016/S1385-7258(52)50043-X, DOI 10.1016/S1385-7258(52)50043-X]